Summer Math Skills for 6th Grade going into 7th Grade

Transcription

1 Summer Math Skills for 6th Grade going into 7th Grade 1. Give the place and value of the underlined digit. Then round the number to that place Order the numbers from least to greatest , 3.4, 4.5, , 0.75, 0.7, Perform the indicated operation

2 Write the mixed number as an improper fraction Write the improper fraction as a mixed number Find the product

3 Use the bar graph which shows the results of a survey of 25 students about their favorite lunch food. 23. How many students chose chicken nuggets? 24. Which two foods were chosen by the same number of people? 25. How many more students chose macaroni and cheese than chose hamburger? Use the line graph which shows the weight of an Irish wolfhound puppy. 26. What was the weight of the puppy at 8 months? 27. How old was the puppy when it weighed 60 pounds? 28. Between which two ages was the weight increase the greatest? The least?

4 Use the circle graph which shows the number of years that a senator had worked in the U.S. Senate at the start of the 104th Congress. 29. How many senators had worked in the U.S. Senate for 10 to 19 years? 30. How many senators had worked in the U.S. Senate for 20 years or more? 31. How many senators had worked in the U.S. Senate for 9 years or less? 32. Find the perimeter of a rectangle with a length of 5 centimeters and a width of 3 centimeters. 33. Copy and complete the statement. 34. Find the area of the square

5 Find the volume of the cube Copy and complete the statement using <, >, or = Find the weight or mass of the object

6 Find the amount of liquid in the measuring cup Find the measure of the angle. Then classify the angle as acute, right, obtuse, or straight

7 Find the perimeter. (The figure may not be drawn to scale.) 51. a. 119 in. b. 47 in. c. 116 in. d. 50 in. 52. Find the perimeter of the square. a. 160 in. b. 320 in. c. none of these d in. Find the volume of the figure What is the perimeter of the square?

8 55. The perimeter of a square is 32 feet. Find the area of the square. a. 64 ft 2 b. 65 ft 2 c. 9 ft 2 d. 8 ft 2 Identify the property illustrated in the statement a. Identity property of addition b. Identity property of multiplication c. Commutative property of multiplication d. Commutative property of addition a. Associative property of addition b. Commutative property of addition c. Associative property of multiplication d. Commutative property of multiplication Evaluate the expression when The recipe you are following calls for 3 quarts of water. You have 3 pints of water. Do you have enough water? If you have enough water, how much extra do you have? If you do not have enough, how much more do you need? a. Yes; 2 pt b. Yes; 3 pt c. No; 2 pt d. No; 3 pt 60. The length of a college basketball court is 94 feet. Use a conversion factor to find the length in inches. Use the distributive property and mental math to find the product. 61. a. 427 c b d (51) Use the distributive property to write an equivalent variable expression. 63. a. c. b. d.

9 a. c. b. d. 66. Your club of 27 students is touring an Old-West town. How much money will be spent if all the students in the club go on the train ride and visit the museum? 67. You and three friends go to a movie. The tickets cost $5.50 each. You each buy a drink for $2.50 and a box of popcorn for $4.00. Write an expression that represents the total amount of money spent. Then evaluate the expression. 68. Simplify the expression. 69. a. c. b. d. 70. a. c. b. d. 71. Solve the equation a. 15 c. b. 28 d. 18 a. 17 c. 14 b. 16 d. 15

10 74. a. 206 c. 224 b. 216 d. 226 Solve the equation using mental math Write an equation equivalent to the verbal statement "the sum of three times a number n and 7 is 16." 77. Tomi owns 5 times as many videos as Paul. Paul owns 17 videos. How many videos does Tomi own? 78. Write an equation equivalent to the verbal statement "three times the sum of a number n and 7 is 16." Solve the equation. Check your solution a. b. c. d. a. b. c. d Solve the equation. 83. = x = = x = 24

11 Perform the indicated operation a c b. 54,572 d a. 0.7 c. 7.8 b. 780 d Solve the equation. 90. = a c b d Copy and complete the statement using or Tell whether the statement is true or false. Explain your reasoning. 96. January's monthly average temperature for six cities is given below. Use a number line to order the temperatures from least to greatest. Which city is normally the coldest in January? City City 1 City 2 City3 City 4 City 5 City 6 Temp 0ºC 25ºC 5ºC 11ºC 10ºC 20 ºC

12 Order the integers from least to greatest. 97. Complete the statement using,, or =. 98. a. < b. > c. = 99. Which of the following is a true statement? a. b. c. d Find the absolute value of the number An elevator started on the 6th floor. It went up 8 floors, down 7 floors, up 7 floors, and down 2 floors. On what floor did the elevator finally stop? 102. In the first four plays of a football game, 8 yards were lost, 5 yards were gained, 3 yards were gained, and 4 yards were gained. a. What was the total number of yards lost or gained after the first four plays? b. Did the team gain the necessary 10 yards for the first down? c. If not, how many more yards would they have to have gained? 103. Find the difference

13 Find the product Solve the equation using mental math Evaluate the expression for the given value(s) of the variable(s) At noon the temperature was 14ºC. If the temperature then dropped 4ºC per hour, what was the temperature after 6 hours? 114. Find the quotient Find the mean of the integers The formula for converting degrees Fahrenheit (F) to degrees Celsius (C) is. Find C when F = 104º Use the distributive property to write an equivalent expression. Check your answer Use the distributive property to find the missing number or variable.

14 Plot the point and describe its location The scatter plot shows the number of T-shirts sold by a company during their first 10 years in business. Which conclusion is best supported by the graph? a. More T-shirts were sold in the sixth year than in the tenth year. b. The number of T-shirts sold doubled in the first 5 years. c. There was a steady decline in the number of T-shirts sold in the last 3 years. d. The company sold almost as many T-shirts in the fifth year as it did in the eighth year.

15 123. Which of the following ordered pairs represents a point that lies within the circle? a. (2, 2) b. (2, 2) c. ( 2, 3) d. ( 2, 2) 124. GRIDDED RESPONSE Grid the correct answer on a separate gridding sheet. What is the x-coordinate of the point in quadrant 4? 125. Write the coordinates of the points A, B, C, and D.

16 Plot and connect the points to form a rectangle. Then find the length, width, and area of the rectangle y x A company employee has recorded information on the size of the company over the last 8 years. The ordered pairs show the years in business and the number of employees. Make a scatter plot of the data. Then make a conclusion about the data.

17 128. The weights of ten Holstein calves of different ages are given in the table. Make a scatter plot of the data. Put age on the horizontal axis. Then describe any pattern that you see in the scatter plot. Age (months) Weight (pounds)